A quadrant is the area that is divided into the x and y axes
The quadrants in which tan 
and cot are positive are I and III
<h3>How to determine the quadrants</h3>
The tangent of an angle is calculated as:
While the cotangent of the angle is calculated as:
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
- In the first quadrant, the sine and the cosine angles are positive.
- In the third quadrant, the sine and the cosine angles are negative.
Hence, the quadrants in which tan and cot are positive are I and III
Read more about trigonometry ratios at:
brainly.com/question/8120556
4. (9x^2 + 13x) + (4x^2 - 8x)
(9x^2 + 13x)
9x^2 = 81 x + 13 x = 94x
(4x^2 - 8x)
4x^2 = 16x - 8x = 8x
94x + 8x = 102x
The answer is 102x
5. (x^2 + 4x + 6) + (x^2 + 8x + 3)
(x^2 + 4x + 6)
4x + 6 = 10x
10x + x^2 = 10x^2
(x^2 + 8x + 3)
8x + 3 = 11x
x^2 + 11x = 11x^2
The answer i 11x^2
6. (-3x^2 + 2x - 8) + (x^2 + 4x)
(-3^2 + 2x + 8)
-3^2 = 9
2x + 8 = 10x
10x + 9 = 19x
(x^2 + 4x)
x^2 + 4x = 4x^2
19x + 4x^2 = 23x^2
The answer is 23x^2.
Answer:
B, C, C
Step-by-step explanation:
Measures of angles are X = 102° and Y = 78°
Step-by-step explanation:
- Step 1: Let ∠X = 24 + Y. As they are supplementary angles, ∠X + ∠Y = 180°
⇒ 24 + Y + Y = 180
⇒ 2Y = 180 - 24 = 156
⇒ Y = 156/2 = 78°
- Step 2: Find measure of X
⇒ X = 24 + Y = 24 + 78 = 102°
Im pretty sure that it is D or the last one. If you're equally sharing something, you would have to divide it.
